[((2 / 75.5) - 3) * 2]3 (make 3 an exponent.)
Parameterize this surface (call it ) by
with and . The limits on should be obvious. We find the upper limit for by solving for where the sphere and cone intersect:
Take the normal vector to to be
(orientation does not matter here)
Then the area of is
Answer:
your
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The equation will be in the form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (2.5, 0) ← 2 points on the line
m = = - 2
The line crosses the y- axis at (0, 5) ⇒ c = 5
y = - 2x + 5 or
y = 5 - 2x → A
A geologist in South America discovers a bird skeleton that contains 80% of its original amount of C-14
We use formula
N0= initial amont of C-14 (at time t=0)
N= amount of C-14 at time t
t= time, in years
k= 0.0001
N is 80% of N0 that is
Divide both sides by N_o
Take ln on both sides
ln(0.8) = -0.0001t ln(e)
ln(0.8) = -0.0001t
Divide both sides by -0.001
t = 2231.435513
The age of the bird skeleton is 2231 years old